Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (3): 764-775.

• Articles • Previous Articles     Next Articles

Nonconforming Finite Element Method for Integro-Differential Equation of Parabolic Type with Weakly Singular Kernel

SHI Dong-Yang1, GUO Cheng2, WANG Hai-Hong3   

  1. 1. Department of Mathematics, Zhengzhou University, Zhengzhou 450052|2. Department of Mathematics, Zhengzhou Teachers College, Zhengzhou 450044|3. Department of Mathematical and Information Scientific, Henan University of Finance and Economics, Zhengzhou 450002
  • Received:2008-03-27 Revised:2009-10-21 Online:2010-05-25 Published:2010-05-25
  • Supported by:

    国家自然科学基金(10671184)资助

Abstract:

The nonconforming finite element methods for integro-differential equation with a weakly singular kernel are studied. The same optimal error estimates as the traditional methods both in semi-discrete scheme and full discretization are obtained without using Ritz-Volterra projection.

Key words: Parabolic integro-differential equation,  Weakly singular kernel, Nonconforming, Error estimates

CLC Number: 

  • 65N15
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